Systems of Linear Equations and Polynomial Equations
Solve a linear system Solve a polynomial equation

Solve a linear system

Suppose you have the following system to solve:

{3x+4y5z=3.5xy+z=1.5x3y+6z=16

All the equations must be in the form ax+by+cz=d.

  1. Press Menu Icon, select Algebra > Solve System of Equations > Solve System of Linear Equation.
  2. Enter 3 as the number of equations and fill it as follows:

    Linear System Screenshot

  3. We have 3 equations and 3 unknowns (x, y, and z).

    Press Enter Icon. The results should be x=1, y=4, and z=4.5.

Solve a Polynomial Equation

Suppose you have to solve the equation x310x2+33x36=0.

The right-hand side must be 0.

  1. Press Menu Icon, select Algebra > Polynomial Tools > Find Roots of Polynomial. Set 3 as the order of the equation. Fill the equation as follows:

    Polynomial Step 1 Screenshot

    The order is the biggest power of x in the equation.

  2. Press Enter Icon. The results should be 3 and 4:

    Polynomial Step 1 Screenshot

    3 appears twice because x310x2+33x36=(x3)(x3)(x4).